\[ y'(x)=\frac {\csc \left (\frac {y(x)}{2 x}\right ) \sec \left (\frac {y(x)}{2 x}\right ) \sec \left (\frac {y(x)}{x}\right ) \left (x^4 \sin \left (\frac {y(x)}{2 x}\right ) \sin \left (\frac {y(x)}{x}\right ) \cos \left (\frac {y(x)}{2 x}\right )+x^3 \sin \left (\frac {y(x)}{2 x}\right ) \sin \left (\frac {y(x)}{x}\right ) \cos \left (\frac {y(x)}{2 x}\right )-\frac {1}{2} y(x) \sin \left (\frac {y(x)}{x}\right )+x \sin \left (\frac {y(x)}{2 x}\right ) \sin \left (\frac {y(x)}{x}\right ) \cos \left (\frac {y(x)}{2 x}\right )+\frac {1}{2} y(x) \sin \left (\frac {y(x)}{2 x}\right ) \cos \left (\frac {y(x)}{2 x}\right )+\frac {1}{2} y(x) \sin \left (\frac {3 y(x)}{2 x}\right ) \cos \left (\frac {y(x)}{2 x}\right )\right )}{x} \] ✓ Mathematica : cpu = 0.0636064 (sec), leaf count = 29
\[\left \{\left \{y(x)\to x \sin ^{-1}\left (x e^{c_1+\frac {x^3}{3}+\frac {x^2}{2}}\right )\right \}\right \}\]
✓ Maple : cpu = 0.075 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) =\arcsin \left ( {{\it \_C1}\,x \left ( {{\rm e}^{-{\frac {{x}^{3}}{3}}}} \right ) ^{-1} \left ( {{\rm e}^{-{\frac {{x}^{2}}{2}}}} \right ) ^{-1}} \right ) x \right \} \]